Spectral Network and Betti Lagrangians

In this talk I will discuss the interface of spectral network theory and real contact and symplectic topology. For the first hour, I will give an introduction to spectral network theory using the Berk-Nevins-Roberts example, and review symplectic topology. For the second hour, I will talk about how GMN (Gaiotto-Moore-Neitzke) network theory can be interpreted from a symplectic perspective. I will then give an introduction to weave theory, which allows one to construct certain Lagrangian generalizations of spectral curves. I will then explain how to combinatorially compute spectral networks, with some applications.

This is based on joint work with Roger Casals [1].